解题方法
1 . 已知
是奇函数,
是偶函数.
(1)求
的值;
(2)若不等式
恒成立,求
时实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092e40a1ec1a58a6ef28557db5ba8056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fa78af600f792da4ed72e862683cc4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25d1cfbdeeb6ad949cc2970a1299e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2 . 已知函数
,其中
且
.
(1)求
的值,判断
的奇偶性并证明;
(2)函数
有零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1ee79efe2e33eacd7eb80c82263e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4266704cf6a09ed98228ee26d91f402c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b77d8fd3ed34166e990b3d79b03b57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 我们知道
与
(
且
)互为反函数,它们具有以下性质:①图象关于直线
对称;②
的定义域是
的值域,
的值域是
的定义域,反之亦然;③若点
在函数
的图象上,则点
一定在函数
的图象上.
(1)若函数
与
互为反函数,求实数a,b的值;
(2)运用(1)题中得到的函数
,若对
,使得
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493d16a261e909d2faf6b5386b8fa5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab3a3d264dba79d3e2995bec4ad3ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1a3f631ea291a932f4bc466556a2c1.png)
(2)运用(1)题中得到的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976472fb4679ad2d8ec2f928f684650b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d25a5b1e41c9fa76ece3b27d81b0e8f.png)
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解题方法
4 . 已知函数
是奇函数,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f82dabd2b265ff9fd94629931a09373.png)
A.![]() |
B.![]() ![]() ![]() |
C.函数![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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名校
解题方法
5 . 已知函数
,且
.
(1)证明:
在区间
上单调递减;
(2)若
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319ec94edfff2dc57f83635e6b8d8913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6266a5b47e313651b98ca48c91a754fc.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62273885d6ef20061be80cd13882c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce2837a8732f5038a0245b69306d20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2023-01-04更新
|
292次组卷
|
10卷引用:贵州省黔西南州顶兴学校2023-2024学年高一上学期第二次月考数学试题
贵州省黔西南州顶兴学校2023-2024学年高一上学期第二次月考数学试题贵州省黔东南苗族侗族自治州锦屏中学2023-2024学年高一上学期期中考试数学试题广西玉林市第十一中学2022-2023学年高一上学期11月期中考试数学试题吉林省四平市2023-2024学年高一上学期期中数学试题四川省眉山市仁寿县2023-2024学年高一上学期期中联考数学试题甘肃省武威市天祝藏族自治县2023-2024学年高一上学期第二次月考(12月)数学试题陕西省榆林市第一中学2023-2024学年高一上学期选课走班暨期中考试数学试题青海省海东市第一中学2023-2024学年高一上学期期中考试数学试题数学河南省新乡市长垣市第一中学2023-2024学年高一上学期11月教学质量检测数学试题西藏自治区那曲市五校2023-2024学年高一上学期期末联考数学试题
名校
6 . 已知
,
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
的周期和单调递减区间;
(2)设
为常数,若
在区间
上是增函数,求
的取值范围;
(3)设
定义域为
,若对任意
,
,不等式
恒成立,求实数
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbb45d951aa4c64d07ea0e9394f2df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1dfdb520f2dd637ccb5606d4695823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e665ca2220e4b27b78a173ff756e1eda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4607e9f81a317703cf52ef9dfe685c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce53b7483eef4f0fb3334107acc4e1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbd17006e2625ff6748f6d098ea6573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841a7b00bf7477dff488ec7bbe9d8ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-07-15更新
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1647次组卷
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7卷引用:贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题
贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题江西省赣州市赣县第三中学2022-2023学年高一上学期10月月考数学(理)试题四川省仁寿第一中学校南校区2022-2023学年高一下学期期中考试数学试题 甘肃省白银市靖远县第四中学2022-2023学年高一下学期6月月考数学试题(已下线)高一下学期期末真题精选(压轴60题20个考点专练)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)
解题方法
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe357aa87fc825eda32b1b964a67aa8.png)
(1)若
在区间
恒成立,求
的取值范围;
(2)当
时,是否存在点
,使得
的图像关于点
对称?若存在,求出点
,若不存在,请说明理由;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe357aa87fc825eda32b1b964a67aa8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29565b2fe52b138c3b9b80b73fa49bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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解题方法
8 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14e959bd1ed92315ec2cb4b02ced581.png)
(1)求函数
的定义域;
(2)证明:
在
上为增函数;
(3)当
时,求函数的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14e959bd1ed92315ec2cb4b02ced581.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b5e402f725a71c3305bf3e72f72ded.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4bce0e9f17a187f11f8ef332cb7dd0.png)
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)求
的单调区间;
(2)求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96487e34df827ec994477fcbfacd92b1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-02-19更新
|
376次组卷
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2卷引用:贵州省黔南州2018-2019学年高一上学期期末数学试题
10 . 已知二次函数
满足下列3个条件:
①
的图象过坐标原点;②对于任意
都有
;③对于任意
都有
.
(1)求函数
的解析式;
(2)令
.(其中m为参数)
①求函数
的单调区间;
②设
,函数
在区间
上既有最大值又有最小值,请写出实数p,q的取值范围.(用m表示出p,q范围即可,不需要过程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00cbf67f0605a8d1f4499b156785001f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b129a86f37fbbdf5a5808f13924e819f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b45f20b8f07836bb5d9941ae862233.png)
①求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e257b2b02bcd57c116841807979bbc.png)
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2020-01-04更新
|
393次组卷
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3卷引用:贵州省黔南布依族苗族自治州都匀市民族中学2021-2022学年高一上学期第二次月考数学试题